Past homework ... to reduce the size of the current homework page ....
Due: Friday, 2010-10-29
read § 6.5 - Definite Integral
Due: Thursday, 2010-10-28 § 6.2 - p386 - 42 § 6.3 - p393 - 45-46, 49 § 6.4 - p405 - 30, 38-39, 44-45
read § 6.5
more practice with antiderivatives; initial-value problems; and summations - with approximations of area
Due: Wednesday, 2010-10-27 § 6.3 - p393 - 34-36, 39-40 § 6.4 - p405 - 13, 15, 17, 19, 23-24
Practice sigma notation and using formulas for sums
Due: Tuesday, 2010-10-26 § 6.3 - p393 - 29-33 § 6.4 - p404-405 - 1, 3-6, 11-12
Practice sigma notation and using formulas for sums
Due: Monday, 2010-10-25 § 6.3 - p392-393 - 7-12, 17-22
read § 6.4 - Sigma Notation and Area as a Limit
Test - Questions 13-14: Think about them - learn to do them- learn what not to do
Due: Friday, 2010-10-22 § 6.2 - p386 - 39, 41, 45, 47 § 6.3 - p392 - 1-4
Test - Questions 10-12: Think about them - learn to do them- learn what not to do
Due: Thursday, 2010-10-21 § 6.2 - p385 - 4-12 even, 13, 15, 17, 21
read § 6.3 - integration by substitution
Test - Questions 7-9: Think about them - learn to do them- learn what not to do
Due: Wednesday, 2010-10-20 § 6.2 - p385 - 2, 3-11 odd
Test - Questions 4-6: Think about them - learn to do them- learn what not to do
Due: Tuesday, 2010-10-19 § 6.1 - p377 - 9-14
read § 6.2 - Indefinite Integral
Test - Questions 1-3: Think about them - learn to do them- learn what not to do
Find formulas for area from geometry
Due: Monday, 2010-10-18 § 6.1 - p377 - 1-8
Approximate area with sums of areas of rectangle
Wednesday, 2010-10-13
introduced § 3.7 - Related Rates
Assigned Great Related Rates project
Due: Wednesday, 2010-10-13 § 3.5 - p209 - 21-34, 43-46
read § 6.1
More Chain Rule practice with derivatives
Tuesday, 2010-10-12 Test - everything up through § 3.5
no school - Friday and Monday
Due: Thursday, 2010-10-07 Test - everything up through § 3.5 [postponed until Tuesday]
Due: Wednesday, 2010-10-06 § 3.3 - p200 - 75-79 § 3.4 - p203 - 23-28 § 3.5 - p209 - 6-20
read § 6.1
More derivatives - including our first practice with the Chain Rule
Due: Tuesday, 2010-10-05 § 3.3 - p198-199 - 39-46, 51, 57-60 § 3.4 - p203 - 11-20 § 3.5 - p208 - 1-5
More derivatives - including our first practice with the Chain Rule
Due: Monday, 2010-10-04 § 3.3 - p198 - 21-28; 33-36 § 3.4 - p203 - 1-10
read § 3.5
More derivatives - including derivatives of basic trig functions
Due: Friday, 2010-10-01 § 3.3 - p198 - 13-20
read § 3.4
Product and Quotient Rule practice
Due: Thursday, 2010-09-30 § 3.3 - p198 - 1-12
Power rule practice
Due: Tuesday, 2010-09-28 § 3.2 - p188 - 1-4, 9-12
Thinking about derivatives .... limit definition
Tue: quizlet on 3.1 - #9 or 13
Due: Monday, 2010-09-27
read § 3.2 - Derivative as limit of slopes of secant lines § 3.1 - p176 - 7-17
Use algebra to find avearge rate of change and instantaneous rate of change
Due: Friday, 2010-09-24
read § 3.1 § 3.1 - p175 - 1-6
Slopes, rates of change, and a taste of the real world
Due: Thursday, 2010-09-23 § 2.6 - p 163, - 1, 3, 13-32 § 2.5 - p 158 - 39, 40, 42 ... on IVT
Learn to manipulate limits of the form 0/0 when trig functions are involved
Due: Wednesday, 2010-09-22 nothing :-(
Due: Tuesday, 2010-09-21
read § 2.6
Write better versions of question 6 and 15 on the quiz; or tell me what confused you
Due: Monday, 2010-09-20 § 2.5 - p 156-157, - 1-4, 7-9, 13-28
Explore the idea of continuity and its reliance on limits to be mathematically precise
Friday, 2010-09-17
Quiz on 2.1, 2.2, 2.3
Due: Thursday, 2010-09-16 § 2.3 - p 136-137, - 20-30
Limit evaluation, and considering piecewise-defined functions
Read § 2.5
Due: Tuesday, 2010-09-14 § 2.3 - p 136, - 1-8
Practice on limit rules, and the first problems on limit evaluation
Read § 2.3
Due: Monday, 2010-09-13 § 2.2 - p 130, - 31-40
Piecewise functions, rationalizing the numerator (with the intent of cancelling factors), and some thought questions
Read § 2.3
Due: Friday, 2010-09-10 § 2.2 - p 130, - 11-30
Practice ! ... especially the order in which you apply the criteria ....
Substitution first, factoring, more involved techniques ....
Due: Thursday, 2010-09-09 § 2.2 - p 129-130, - 1-10
Practice using the basic limit laws, and a few algebraic limit calculations
Due: Wednesday, 2010-09-08
read § 2.2
Due: Tuesday, 2010-09-07 § 2.1 - p ... - 1-18
1-14 - you're looking at a graphs and answering questions about what the limits are
15-18 - these are the real thinking questions .... ALSO - I handed out Cavalieri's principle, work on that :-)
Comments on § 2.1 homework
> The homework was section 2.1 (pp. 118-120) #1=>18 > The first 12 problems are just to give you some practice "seeing" or visualizing limits. Many of you aren't yet convinced that 'limits' are a good idea :-) In order to try and help; and in the spirit of the Anthony Robbins tape clip; let me let you in on the big ideas ... the way to think about limits....
1) Limits have nothing to do with the values of a function at a point.
This is the complete opposite of your previous math courses, where you were interested only in th value of a function at a point.
2) Limits describe the behavior of a function relationship or graph as x (the independent variable) approaches a particular point.
3) Since a real number can be approached from two different directions (the left - or negative - side; and the right - or positive - side) we talk about one-sided limits.
4) If both one-sided limits are 'the same', the two-sided limit is defined to be that identical value.
5) Limits exist to make more mathematically precise and generalize the idea of end behavior - the same idea from pre-calculus.
The limit as x approaches negative inifinity is the end behavior to the left
The limit as x approaches positive infinity is the end behavior to the right
6) The idea of a vertical asymptote is now defined to be a one- or two-sided limit "equal to" plus or minus infinity
- - - -
> problems 13 and 14 are higher level thought problems where you describe all the x-values that have a limit
problems 15 - 18 are important problems that indicate whether you understand these ideas associated with limits.
Due: Friday, 2010-10-29
read § 6.5 - Definite Integral
Due: Thursday, 2010-10-28
§ 6.2 - p386 - 42
§ 6.3 - p393 - 45-46, 49
§ 6.4 - p405 - 30, 38-39, 44-45
read § 6.5
more practice with antiderivatives; initial-value problems; and summations - with approximations of area
Due: Wednesday, 2010-10-27
§ 6.3 - p393 - 34-36, 39-40
§ 6.4 - p405 - 13, 15, 17, 19, 23-24
Practice sigma notation and using formulas for sums
Due: Tuesday, 2010-10-26
§ 6.3 - p393 - 29-33
§ 6.4 - p404-405 - 1, 3-6, 11-12
Practice sigma notation and using formulas for sums
Due: Monday, 2010-10-25
§ 6.3 - p392-393 - 7-12, 17-22
read § 6.4 - Sigma Notation and Area as a Limit
Test - Questions 13-14: Think about them - learn to do them- learn what not to do
Due: Friday, 2010-10-22
§ 6.2 - p386 - 39, 41, 45, 47
§ 6.3 - p392 - 1-4
Test - Questions 10-12: Think about them - learn to do them- learn what not to do
Due: Thursday, 2010-10-21
§ 6.2 - p385 - 4-12 even, 13, 15, 17, 21
read § 6.3 - integration by substitution
Test - Questions 7-9: Think about them - learn to do them- learn what not to do
Due: Wednesday, 2010-10-20
§ 6.2 - p385 - 2, 3-11 odd
Test - Questions 4-6: Think about them - learn to do them- learn what not to do
Due: Tuesday, 2010-10-19
§ 6.1 - p377 - 9-14
read § 6.2 - Indefinite Integral
Test - Questions 1-3: Think about them - learn to do them- learn what not to do
Find formulas for area from geometry
Due: Monday, 2010-10-18
§ 6.1 - p377 - 1-8
Approximate area with sums of areas of rectangle
Wednesday, 2010-10-13
introduced § 3.7 - Related Rates
Assigned Great Related Rates project
Due: Wednesday, 2010-10-13
§ 3.5 - p209 - 21-34, 43-46
read § 6.1
More Chain Rule practice with derivatives
Tuesday, 2010-10-12
Test - everything up through § 3.5
no school - Friday and Monday
Due: Thursday, 2010-10-07
Test - everything up through § 3.5 [postponed until Tuesday]
Due: Wednesday, 2010-10-06
§ 3.3 - p200 - 75-79
§ 3.4 - p203 - 23-28
§ 3.5 - p209 - 6-20
read § 6.1
More derivatives - including our first practice with the Chain Rule
Due: Tuesday, 2010-10-05
§ 3.3 - p198-199 - 39-46, 51, 57-60
§ 3.4 - p203 - 11-20
§ 3.5 - p208 - 1-5
More derivatives - including our first practice with the Chain Rule
Due: Monday, 2010-10-04
§ 3.3 - p198 - 21-28; 33-36
§ 3.4 - p203 - 1-10
read § 3.5
More derivatives - including derivatives of basic trig functions
Due: Friday, 2010-10-01
§ 3.3 - p198 - 13-20
read § 3.4
Product and Quotient Rule practice
Due: Thursday, 2010-09-30
§ 3.3 - p198 - 1-12
Power rule practice
Due: Wednesday, 2010-09-29
§ 3.2 - p188-189 - 13-20, 23
read § 3.3
Thinking about derivatives .... limit definition
Due: Tuesday, 2010-09-28
§ 3.2 - p188 - 1-4, 9-12
Thinking about derivatives .... limit definition
Tue: quizlet on 3.1 - #9 or 13
Due: Monday, 2010-09-27
read § 3.2 - Derivative as limit of slopes of secant lines
§ 3.1 - p176 - 7-17
Use algebra to find avearge rate of change and instantaneous rate of change
Due: Friday, 2010-09-24
read § 3.1
§ 3.1 - p175 - 1-6
Slopes, rates of change, and a taste of the real world
Due: Thursday, 2010-09-23
§ 2.6 - p 163, - 1, 3, 13-32
§ 2.5 - p 158 - 39, 40, 42 ... on IVT
Learn to manipulate limits of the form 0/0 when trig functions are involved
Due: Wednesday, 2010-09-22
nothing :-(
Due: Tuesday, 2010-09-21
read § 2.6
Write better versions of question 6 and 15 on the quiz; or tell me what confused you
Due: Monday, 2010-09-20
§ 2.5 - p 156-157, - 1-4, 7-9, 13-28
Explore the idea of continuity and its reliance on limits to be mathematically precise
Friday, 2010-09-17
Quiz on 2.1, 2.2, 2.3
Due: Thursday, 2010-09-16
§ 2.3 - p 136-137, - 20-30
Limit evaluation, and considering piecewise-defined functions
Read § 2.5
Due: Wednesday, 2010-09-15
§ 2.3 - p 136-137, - 9-19
Limit evaluation
Due: Tuesday, 2010-09-14
§ 2.3 - p 136, - 1-8
Practice on limit rules, and the first problems on limit evaluation
Read § 2.3
Due: Monday, 2010-09-13
§ 2.2 - p 130, - 31-40
Piecewise functions, rationalizing the numerator (with the intent of cancelling factors), and some thought questions
Read § 2.3
Due: Friday, 2010-09-10
§ 2.2 - p 130, - 11-30
Practice ! ... especially the order in which you apply the criteria ....
Substitution first, factoring, more involved techniques ....
Due: Thursday, 2010-09-09
§ 2.2 - p 129-130, - 1-10
Practice using the basic limit laws, and a few algebraic limit calculations
Due: Wednesday, 2010-09-08
read § 2.2
Due: Tuesday, 2010-09-07
§ 2.1 - p ... - 1-18
1-14 - you're looking at a graphs and answering questions about what the limits are
15-18 - these are the real thinking questions ....
ALSO - I handed out Cavalieri's principle, work on that :-)
Comments on § 2.1 homework
> The homework was section 2.1 (pp. 118-120) #1=>18
> The first 12 problems are just to give you some practice "seeing" or visualizing limits. Many of you aren't yet convinced that 'limits' are a good idea :-) In order to try and help; and in the spirit of the Anthony Robbins tape clip; let me let you in on the big ideas ... the way to think about limits....
1) Limits have nothing to do with the values of a function at a point.
This is the complete opposite of your previous math courses, where you were interested only in th value of a function at a point.
2) Limits describe the behavior of a function relationship or graph as x (the independent variable) approaches a particular point.
3) Since a real number can be approached from two different directions (the left - or negative - side; and the right - or positive - side) we talk about one-sided limits.
4) If both one-sided limits are 'the same', the two-sided limit is defined to be that identical value.
5) Limits exist to make more mathematically precise and generalize the idea of end behavior - the same idea from pre-calculus.
The limit as x approaches negative inifinity is the end behavior to the left
The limit as x approaches positive infinity is the end behavior to the right
6) The idea of a vertical asymptote is now defined to be a one- or two-sided limit "equal to" plus or minus infinity
- - - -
> problems 13 and 14 are higher level thought problems where you describe all the x-values that have a limit
- problems 15 - 18 are important problems that indicate whether you understand these ideas associated with limits.
- - - -Due: Thursday, 2010-09-02
Read § 2.1 - Limits (an intuitive approach)
Due: Wednesday, 2010-09-01
Selected - difficult - Precalculus problems